Publications

A. Tveito, G. T. Lines, M. E. Rognes, and M. M. Maleckar. An analysis of the shock strength needed to achieve defibrillation in a simplified mathematical model of cardiac tissue, International Journal of Numerical Analysis and Modeling 9(3):644-57, 2012.

R. C. Kirby, A. Logg, M. E. Rognes, and A. R. Terrel. Common and unusual finite elements, In: Automated Solution of Differential Equations by the Finite Element Method, ed. by A. Logg, K.-A. Mardal and G. Wells. Springer, vol. 84, chap. 3, pp. 91-116. Lecture Notes in Computational Science and Engineering,, 2012.

A. Logg, K. B. Ølgaard, M. E. Rognes, and G. N. Wells. FFC: the FEniCS form compiler, In: Automated Solution of Differential Equations by the Finite Element Method, ed. by A. Logg, K.-A. Mardal and G. Wells. Springer, vol. 84, chap. 11, pp. 223-234. Lecture Notes in Computational Science and Engineering,, 2012.

M. E. Rognes. Automated testing of saddle point stability conditions, In: Automated Solution of Differential Equations by the Finite Element Method, ed. by A. Logg, K.-A. Mardal and G. Wells. Springer, vol. 84, chap. 36, pp. 655-670. Lecture Notes in Computational Science and Engineering,, 2012.

L. Vynnytska, S. R. Clark, and M. E. Rognes. Dynamic simulations of convection in the Earth’s mantle, In: Automated Solution of Differential Equations by the Finite Element Method, ed. by A. Logg, K.-A. Mardal and G. Wells. Springer , Berlin Heidelberg, vol. 84, chap. 31, pp. 587-602. Lecture Notes in Computational Science and Engineering,, 2012.

L. Vynnytska, M. E. Rognes, and S. R. Clark. Benchmarking FEniCS for Mantle Convection Simulations, Submitted to Computers & Geosciences, 2011.

M. E. Rognes. FEniCS After 1.0: Current Trends at CBC@Simula, Talk at FEniCS'11 / Red Raider Minisymposium 2011, Texas Tech University, Lubbock, November 2011, 2011.

M. E. Rognes. More Or Less Shocking: Using Energy Estimates to Answer Scientific Questions, Talk at Biocomp Seminar, Simula Research Laboratory, October 2011, 2011.

M. E. Rognes. Automated Goal-Oriented Error Control a Posteriori Error Estimation and Adaptivity in Finite Element Exterior Calculus, Talk at USNCCM '11, Minneapolis, 2011.

M. E. Rognes. Bringing Error Control to the Non-Expert - Automation of a Posteriori Error Estimation, Talk at CBC Workshop on Multiscale Problems and Methods, 2011.

M. E. Rognes. Automated Goal-Oriented Error Control, Talk at CBC workshop on Biomechanics, November 2011, 2011.

M. E. Rognes. The FEniCS Project, Talk at Imperial College, 2011.

M. E. Rognes. Goal-Oriented Error Control Automated!, Talk at SIAM CSE Reno, Nevada, USA, 2011.

M. E. Rognes. Error Control and Adaptivity for the Non-Expert, Talk at CBC Workshop on Biomedical Modeling, 2011.

M. E. Rognes. FEniCS: the Next Generation PDE Software, Talk at CBC Workshop on Biomedical Modeling, 2011.

M. E. Rognes and A. Logg. Automated goal-oriented error control I: Stationary variational problems, Submitted to SIAM Journal on Scientific Computing, 2010.

M. E. Rognes and R. Winther. Mixed finite element methods for viscoelasticity with weak symmetry, Mathematical Models and Methods in Applied Sciences (M3AS) 20(6):955-985, 2010.

M. E. Rognes and A. Logg. Exploring Automated Adaptivity and Error Control, In: AIP Conference Proceedings, ed. by Theodore E. Simos and George Psihoyios and Ch. Tsitouras, vol. 1281(1), pp. 794-797, AIP, 2010.

R. C. Kirby, A. Logg, M. E. Rognes, and A. R. Terrel. Common and Unusual Finite Elements, In: Automated Scientific Computing, ed. by Logg, Anders and Mardal, Kent-Andre and Wells, Garth N.. Springer Berlin Heidelberg, chap. 4, pp. 89--112, 2010.

A. Logg, K. B. Oelgaard, M. E. Rognes, and G. N. Wells. FFC: The FEniCS Form Compiler, In: Automated Scientific Computing, ed. by Logg, Anders and Mardal, Kent-Andre and Wells, Garth N.. Springer Berlin Heidelberg, chap. 12, pp. 213--224, 2010.

M. E. Rognes. Automated testing of saddle point stability conditions, In: Automated Scientific Computing, ed. by Anders Logg and Kent-Andre Mardal and Garth N. Wells. Springer, chap. 38, pp. 603--616, 2010.

A. Logg and M. E. Rognes. Automated Goal-Oriented Error Control, China-Norway-Sweden Workshop on Computational Mathematics, 2010.

M. E. Rognes. Automated Goal-Oriented Error Control, 8th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Greece, September 19-25, 2010.

M. E. Rognes and A. Logg. Automated goal-oriented error control for stationary variational problems, Talk at FEniCS'10, KTH Royal Institute of Technology, Stockholm, 2010.

M. E. Rognes and A. Logg. Automated goal-oriented error control for stationary variational problems , Presentation at the European Finite Element Fair 2010, University of Warwick, 2010.

M. E. Rognes and A. Logg. Automated goal-oriented error control with applications to fluid flow, Talk at CBC Workshop on Cerebral Blood Flow and Stroke - Clinical, Experimental and Mathematical Models and Problems, 2010.

M. E. Rognes and A. Logg. A framework for automated goal-oriented error control, Talk at BIT 50 – Trends in Numerical Computing, 2010.

M. E. Rognes and A. Logg. Automated goal-oriented error control with applications to nonlinear elasticity, Talk at DSPDEs 2010 - Emerging Topics in Dynamical Systems and Partial Differential Equations, Barcelona, 2010.

A. Logg and M. E. Rognes. Automated Goal-Oriented Error Control, China–Norway–Sweden Workshop on Computational Mathematics in Bergen, 2010.

M. E. Rognes. Mixed finite element methods with applications to viscoelasticity and gels, PhD thesis, University of Oslo, 2009.

D. N. Arnold and M. E. Rognes. Stability of Lagrange elements for the mixed Laplacian, Calcolo 46(4):245-260, 2009.

M. E. Rognes, M.-C. Calderer, and C. Micek. Modelling of and mixed finite element methods for gels in biomedical applications, SIAM Journal on Applied Mathematics 70(4):1305-1329, 2009.

M. E. Rognes, R. C. Kirby, and A. Logg. Efficient Assembly of H(div) and H(curl) Conforming Finite Elements, SIAM Journal on Scientific Computing 36(6):4130-4151, 2009.

M. E. Rognes. Efficient assembly of H(div) and H(curl) conforming variational forms, ICOSAHOM, Norwegian University of Science and Technology, 2009.

M. E. Rognes. Automated error control. Current status and future ambitions, Simula seminar, 2009.

M. E. Rognes. Mixed finite element methods for linear viscoelasticity, Compatible and innovative discretizations for PDEs. Algorithms, analysis and implementation. Norwegian Academy of Science and Letters, 2009.

M. E. Rognes. Compiling H(div) and H(curl) variational forms, Automating the development of scientific computing software, Louisiana State University, 2008.

M. E. Rognes. Mixed finite elements for viscoelasticity, Invited talk at the Computer Science department, University of Chicago, 2008.

M. E. Rognes. Introduction to finite elements: saddle point problems, Ferroelectric phenomena in soft matter systems, American Institute of Mathematics, 2008.

M. E. Rognes. Mixed finite element methods and applications to deformations of elastic-like materials, Centre of Mathematics for Applications, 2007.

M. E. Rognes. The free energy, the boundary value problem and then what?, Ferroelectric phenomena in liquid crystals, Kent State University, 2007.